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BEST APPROXIMATION FOR WEIERSTRASS TRANSFORM CONNECTED WITH RIEMANN-LIOUVILLE OPERATOR
Weierstrass transform best approximation Riemann-Liouville operator reproducing kernel extremal function
2008/11/26
Using reproducing kernels for Hilbert spaces, we give best approximation for Weierstrass
transform associated with Riemann-Liouville operator. Also, estimates of extremal
functions are checked.
Heisenberg-Pauli-Weyl Uncertainty Principle for the Riemann-Liouville Operator
Heisenberg-Pauli-Weyl Inequality Riemann-Liouville operator Fourier transform local uncertainty principle
2010/1/22
The Heisenberg-Pauli-Weyl inequality is established for the Fourier transform connected with the Riemann-Liouville operator.Also, a generalization of this inequality is proved. Lastly, a local uncerta...
Formula for the Highly Regularized Trace of the Sturm-Liouville Operator with Unbounded Operator Coefficients Having Singularity
Highly Regularized Trace Sturm-Liouville Operator Coefficients Having Singularity
2010/3/1
In this work, a formula for the nth regularized trace of the Sturm-Liouville operator with unbounded operator coefficients having singularity is obtained.
